Question

Resonance occurs when:

• A. Damping is high
• B. Mass equals stiffness
• C. Forcing frequency equals natural frequency
• D. Displacement is zero

Hint:

Resonance occurs when the external force frequency matches the system's natural frequency. Be cautious, as this can lead to dangerously high amplitudes.

Answer 1

The Correct Option is C

Resonance occurs in a mechanical system when the frequency of the external force (forcing frequency) matches the natural frequency of the system. This condition results in maximum energy transfer to the system, leading to large oscillations.
When the forcing frequency equals the natural frequency, the system absorbs energy most efficiently, and the amplitude of oscillation increases. This is a hallmark of resonance.
- Damping is high would actually prevent resonance, as it dissipates energy, reducing oscillations.
- Mass equals stiffness is not a condition for resonance, although mass and stiffness influence the natural frequency of the system.
- Displacement is zero is incorrect as resonance is associated with large oscillations, not zero displacement.
Thus, the correct answer is when the forcing frequency equals the natural frequency of the system.